Why don't officers wear marksmanship badges?

They don’t wear it because they suck at shooting. Simple as that.

It depends. If you look at former commanders photos in various HQs you will notice back in the 40s and 50s many Cols and LTCs wore them; in some cases it resembled a ‘ladder’ with all the bars.

I had the honor of commanding two infantry companies. I valued marksmanship highly and to impress that value on our soldiers, I and the LTs would wear our marksmanship badges; in other assignments I did not.

The photo is a past 9th Infantry Regimental Commander with his ladder of Marksmanship bars

It's just culture. I think it started with a CPT or MAJ that couldn't qualify.

Before I became a Warrant Officer in the Army, I was an enlisted Sgt First Class. I wore my medals with pride and honor. Never did I have any officer or enlisted tell me that I could not wear or I should not wear! I also checked the regulations when I wore my uniform and retired in 1994. If one does not want to wear their medals they have the right to not wear them. Their are possibly many reasons for each individual for wearing or not wearing those items they that can be displayed on the uniform. Be it a Recruiting Badge or the Medal of Honor. Their are choices in this world and in the service and not every one will agree with those choices. Unless the regulations mandates that something is to be worn that choice is one for the individual! Yes I chose to wear my awards, I earned them, they meant much to me and I am very proud to have been given the honor to wear them as my choice as should all military members.

Been many, many years now (70s, 80s, 90s), but I recall wearing my rifle & pistol qualification badges. The others... machine gun, hand grenade, etc... no.

Everyone in the Coast Guard that does boat duty as a Boarding Officer must qualify on the CQB courses twice yearly. They must qualify on the basic courses for pistol and rifle to graduate up to the combat courses. We have a ribbon for pistol and rifle and anybody passing the basic gets the plain ribbon, Sharpshooter gets an "S" to add to it and anybody qualifying as Expert gets the letter "E" to add.
Officers in the Coast Guard can be assigned to Boarding Officer in charge of 6 man "LEDET" ( Law E nforcement Detachments") on Naval ships around the world to lead their teams on boarding suspicious foreign shipping. Besides the requals on pistol and rifle they must qualify on the 14 inch mdl 870 shotgun and once yearly on the M-60.

Absolutely. In the Coast Guard as instructor I always had the officers firing with the enlisteds. The competition was always friendly, but fierce.Our recognition is in ribbons that are at the bottom of the ribbon rack. We have one ribbon for pistol and one ribbon for rifle. We use letters, "S" for sharpshooter, and "E" for expert. Marksman was the plain ribbon and it was the entry level.
Once a person qualifies for a letter they can wear it as is, or they can request a requal on the basic course to upgrade to sharpshooter or expert at any time. Competition is great to get the Expert qual, and everybody tries until they earn it. I would put any of our Coasties, including officers, up against any other branch. They have to qualify twice yearly on the CQB courses to be on a boat as a boarding officer, but the others come out because they like the competition. They must qualify every 6 months on the pistol, the M-4 and the 14 inch 870 shotgun to maintain boat crew status.

For some odd reason that never made any sense to me, officers prior to WW2, only carried side arms. Ergo, marksmanship was not an award issued to officers The typical firearm for a general was a 32 caliber pistol. Patton carried the 45 single action Colt revolver (tank gunners don't get marksmanship medals). Most other officers carried the 45 automatic. In the first place, a man with a pistol who faces an enemy holding a rifle, is in deep yogurt. Secondly, few people can reliably hit a target at 25 years with a handgun....regardless what the movies show. By WW2, infantry officers were were beginning to insist on a "real weapon". While the GI was issued the 30-06 M1 Garand, officers found a compromise in the lightweight 30 caliber M1 Carbine...while only 1/3rd as powerful as the M1 Garand, it had twice the power of the 45, and far more accuracy (up to 300 yards). None the less, officers continued to portray themselves as leaders of men rather than marksmen. Old traditions are difficult to discard. US Army, Vietnam

SSG ROCK is a leg Ranger twice awarded CIB... MMMMMMM

Former Marine, current Army officer. I wear my marksmanship badges. For two reasons. I earned them and it rubs some of my fellow officers the wrong way.